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Finding the Fourth Proportional to 2,006.21, 3,007.24 and 707.01

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Solution

The fourth proportional to 2,006.21, 3,007.24 and 707.01 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.21 : 3,007.24 = 707.01 : x
  2. Step 2: Convert to fraction form
    2,006.21/3,007.24 = 707.01/x
  3. Step 3: Cross multiply
    2,006.21x = 3,007.24 × 707.01
  4. Step 4: Simplify right side
    2,006.21x = 2,126,145.22
  5. Step 5: Solve for x
    x = 2,126,145.22/2,006.21
  6. Step 6: Final answer
    x = 1,059.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.